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Choose the correct alternative: Area of the region bounded by y2 = 16x, x = 1 and x = 4 and the X axis, lying in the first quadrant is ______ - Mathematics and Statistics

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प्रश्न

Choose the correct alternative:

Area of the region bounded by y2 = 16x, x = 1 and x = 4 and the X axis, lying in the first quadrant is ______

विकल्प

  • `56/3` sq.units

  • `3/56` sq.units

  • 56 sq.units

  • 63 sq.units

MCQ
रिक्त स्थान भरें

उत्तर

`56/3` sq.units

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अध्याय 1.7: Application of Definite Integration - Q.1 (A)

संबंधित प्रश्न

Find the area under the given curve and given line:

y = x2, x = 1, x = 2 and x-axis


Find the area under the given curve and given line:

y = x4, x = 1, x = 5 and x-axis


Find the area enclosed between the parabola y2 = 4ax and the line y mx


Using integration, find the area of the region {(x, y) : x2 + y2 ≤ 1 ≤ x + y}.


Find the area of the region. 

{(x,y) : 0 ≤ y ≤ x, 0 ≤ y ≤ x + 2 ,-1 ≤ x ≤ 3} .


Find the area of the region bounded by the following curves, the X-axis and the given lines: y = `sqrt(16 - x^2)`, x = 0, x = 4


Area of the region bounded by x2 = 16y, y = 1 and y = 4 and the Y-axis, lying in the first quadrant is _______.


Fill in the blank : 

Area of the region bounded by y = x4, x = 1, x = 5 and the X-axis is _______.


Fill in the blank :

Area of the region bounded by x2 = 16y, y = 1, y = 4 and the Y-axis, lying in the first quadrant is _______.


State whether the following is True or False :

The area of the portion lying above the X-axis is positive.


Choose the correct alternative:

Area of the region bounded by the curve x2 = 8y, the positive Y-axis lying in the first quadrant and the lines y = 4 and y = 9 is ______


Choose the correct alternative:

Area of the region bounded by x = y4, y = 1 and y = 5 and the Y-axis lying in the first quadrant is ______


State whether the following statement is True or False:

The area bounded by the curve y = f(x) lies on the both sides of the X-axis is `|int_"a"^"b" "f"(x)  "d"x| + |int_"b"^"c" "f"(x)  "d"x|`


The area of the shaded region bounded by two curves y = f(x), and y = g(x) and X-axis is `int_"a"^"b" "f"(x) "d"x + int_"a"^"b" "g"(x)  "d"x`


The ratio in which the area bounded by the curves y2 = 8x and x2 = 8y is divided by the line x = 2 is ______ 


Area enclosed between the curve y2(4 - x) = x3 and line x = 4 above X-axis is ______.


The area of the region bounded by the X-axis and the curves defined by y = cot x, `(pi/6 ≤ x ≤ pi/4)` is ______.


The area bounded by the curve | x | + y = 1 and X-axis is ______.


The area bounded by the curve, y = –x, X-axis, x = 1 and x = 4 is ______.


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